Evaluate the fraction 24/32 and choose its lowest terms.

Evaluate the fraction 24/32 and choose its lowest terms.

• A. 4/5
• B. 3/4
• C. 2/3
• D. 11/12

Answer: (B)

To put a fraction in lowest terms, divide both the numerator and the denominator by their greatest common factor. For 24/32, both numbers share 8 as a factor (24 = 3×8, 32 = 4×8). Dividing by 8 gives 3/4. Since 3 and 4 have no other common factors, this is already in simplest terms. You can also see it by dividing first by 4 to get 6/8, then by 2 to reach 3/4. The simplified form is 3/4.

To put a fraction in lowest terms, divide both the numerator and the denominator by their greatest common factor. For 24/32, both numbers share 8 as a factor (24 = 3×8, 32 = 4×8). Dividing by 8 gives 3/4. Since 3 and 4 have no other common factors, this is already in simplest terms. You can also see it by dividing first by 4 to get 6/8, then by 2 to reach 3/4. The simplified form is 3/4.